Abstract: We introduce a new definition of a $\delta$-shock wave type solution for a class of systems of conservation laws in the one-dimensional case. The weak asymptotics method developed by the authors is used to construct formulas describing the propagation and interaction of $\delta$-shock waves. The dynamics of merging two $\delta$-shocks is analytically described.
Conservation Laws Preprint Server <conservation@math.ntnu.no> 2003-11-26 13:01:13 UTC